A survey on the effects of free and boolean convolutions on Cauchy-Stieltjes Kernel families
A survey on the effects of free and boolean convolutions on Cauchy-Stieltjes Kernel families
In the setting of noncommutative probability theory and in analogy with the theory of natural exponential families (NEFs), a theory of Cauchy-Stieltjes Kernel (CSK) families has been recently introduced. It is based on the Cauchy-Stieltjes kernel (1−θx)−1. In this paper, after presenting some basic concepts on NEFs and CSK families …